Least Common Multiple of 972 and 977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 972 and 977 the smallest integer that is 949644 that is divisible by both numbers.

Least Common Multiple (LCM) of 972 and 977 is 949644.

LCM(972,977) = 949644

LCM of 972 and 977

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 972 and 977

LCM of 972 and 977 is 949644

Least common multiple can be found by multiplying the highest exponent prime factors of 972 and 977. First we will calculate the prime factors of 972 and 977.

Prime Factorization of 972


2 972
2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 972 are 2,3. Prime factorization of 972 in exponential form is:

972 = 22×35

Prime Factorization of 977


977 977
1

Prime factors of 977 are 977. Prime factorization of 977 in exponential form is:

977 = 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 972 and 977.

LCM(972,977) = 22×35×9771
LCM(972,977) = 949644

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1, 977

Least Common Multiple of 972 and 977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 972 and 977, than apply into the LCM equation.

GCF(972,977) = 1
LCM(972,977) = ( 972 × 977) / 1
LCM(972,977) = 949644 / 1
LCM(972,977) = 949644

Properties of LCM 972 and 977

(i) The LCM of 977 and 972 is associative

LCM of 972 and 977 = LCM of 977 and 972

Related Least Common Multiples of 972

Related Least Common Multiples of 977

Frequently Asked Questions on LCM of 972 and 977

1. What is the LCM of 972 and 977?

Answer: LCM of 972 and 977 is 949644.

2. What are the Factors of 972?

Answer: Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972. There are 18 integers that are factors of 972. The greatest factor of 972 is 972.

3. What are the Factors of 977?

Answer: Factors of 977 are 1, 977. There are 2 integers that are factors of 977. The greatest factor of 977 is 977.

4. How to Find the LCM of 972 and 977?

Answer:

Least Common Multiple of 972 and 977 = 949644

Step 1: Find the prime factorization of 972

972 = 2 x 2 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 977

977 = 977

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 949644 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 977

Step 4: Therefore, the least common multiple of 972 and 977 is 949644.